The classification of the dynamical behavior of 3-dimensional type K monotone Lotka-Volterra systems

DOI10.1016/S0362-546X(01)00860-4zbMath1022.34033OpenAlexW2063910457MaRDI QIDQ1849001

Xing Liang, Ji-Fa Jiang

Publication date: 28 November 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(01)00860-4

zbMATH Keywords

Lotka-Volterra systemsKolmogorov systemstopological classificationtype \(K\) monotone

Mathematics Subject Classification ID

Monotone systems involving ordinary differential equations (34C12)

Related Items (7)

Traveling wave solutions in delayed reaction-diffusion systems with mixed monotonicity ⋮ The asymptotical behavior of cyclic genetic regulatory networks ⋮ On global dynamics of type-K competitive Kolmogorov differential systems ⋮ Global dynamics of 3D cooperative Lotka-Volterra system with the identical intrinsic growth rate ⋮ Type-\(K\) exponential ordering with application to delayed Hopfield-type neural networks ⋮ Stability of a three-dimensional diffusive Lotka–Volterra system of type-K with delays ⋮ Competitive systems with migration and the Poincaré-Bendixson theorem for a 4-dimensional case

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